Find the area of a regular hexagon with the given measurement. 6-inch radius

Step-by-step explanation:

In order to solve a regular polygon, you would use the equation:

First start by replacing the variables in that equation with what we know. We know that the radius is 6 inches and that hexagons are made up of equilateral triangles. If a 6 inch radius is the side of a single equilateral triangle, then all the sides on that triangle = 6. If all the sides on that one triangle = 6, then all the sides on all the triangles = 6. Therefore, each side of the hexagon = 6.

Now we know that the perimeter = 36. Now our equation is .

The apothem is because the apothem, side, and radius create a right triangle. We know that the radius and side = 6, and if the apothem divides the side in half then the short leg of our triangle = 3. If the length of hypotenuse of our right triangle = 6 and the length of the short leg = 3, then we can use Pythagorean theorem to find the long leg aka. the apothem.

Our equation would then be and so .

Now we know what our apothem is so our equation is now

Therefore

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.